1. Homework Statement
Given the linear diffusion equation with a linear source term,
\frac{\partial u}{\partial t} =\frac{\partial^2u}{\partial x^2} + au
where a is a positive constant and inital data u(x,0) = u0(x) use a linear instability analysis to show u identically equal to 0 is...
Homework Statement
An independent, identically distributed sample, x = (x1, ... , xn) of size n, is drawn from a Poisson distribution, parameter A. We want to test the null hypothesis H0 : A = A1 against the alternative hypothesis H1 : A = A2 where A1 < A2.
Write down the likelihood ratio...
I'm stuck on a question in linear algebra, it reads "Show that the subset S={cos mx, sin nx: m between 0 and infinity, n between 1 and infinity} is linearly independent.
I really just don't know where to start. I've seen a similar question which was just sin (nx) and the lecturer integrated...
Bit stuck on a projectile style question, at first glance I thought it would be pretty easy but I'm stuck now!
"A man is shooting another man who has climbed a pole h metres high, L metres away. The bullets are at speed v leaving the gun. Find an equation determining the angle of projection...
Just come across this question on a problem sheet and it's got me rather confused!
You have to prove that |[0,1]|=|[0,1)|=|(0,1)| without using Schroeder-Bernstein and using the Hilbert Hotel approach. After looking at the Hilbert Hotel idea I can't really understand how this helps! This...
Hey I'm really confused about these things above (well except for light years). How would you get a distance in parsecs and in light years if there was an annual parallax of say 0.2 arc seconds. I'm just revising for exams but am really confused now! Thanks.
I have this sheet to do but I think its really hard! I've tried most of the questions but I need someone to tell me if what I've done is right or wrong and what is wrong if it is wrong because I'm not sure on a lot of it!
1. A cylinder contains 2.3 x 10^4 cm3 of an ideal gas at a pressure of...
Well for question 1 I don't really understand what it means by thermal capacity but what I think I would do is work out the heat capacity by multiplying the specific heat capacity by the mass and then add the two together.
For the 2nd question I think I've done part (a) although I'm not sure...
I've got a set of questions based on internal energy and specific heat capacities and things. I could just do with a bit of help on some of them. Just a push in the right direction will probably do! Thanks.
Specific heat capacity of water = 4200 J/kg/K
Specific heat capacity of ice = 2100...
I've not met that formula before but I do understand where its from but how can you use it because you don't know time or is it necessary to work out the time or something??
We have been given a set of questions to do. Most of these I have managed fairly easily but there are some which I am really stuck on and am getting quite annoyed with now as I have been working at them for ages! Help on any of these would be really appreciated:
The Saturn V rocket which...
Right well there is this question which I am stuck on and could do with some help with! Thanks!
A runner decelerates as he runs into a windy exposed area, from a speed of 4 m/s to 2 m/s in 8 seconds. His mass is 60 kg. Assuming he also experiences a frictional force of 3 N, find the size of...